Question

2 mr. bakshi has 7 yards of fabric. he uses 2 \\(\frac{1}{2}\\) yards to make a blanket and wants to make scarves with the remaining fabric. if he needs \\(\frac{3}{4}\\) yard of fabric to make one scarf, how many scarves can he make in all?

Explanation:

Step1: Calculate remaining fabric

Convert mixed number to improper fraction: $2\frac{1}{2} = \frac{5}{2}$. Subtract used fabric from total:
$7 - \frac{5}{2} = \frac{14}{2} - \frac{5}{2} = \frac{9}{2}$ yards

Step2: Divide by scarf fabric need

Divide remaining fabric by $\frac{3}{4}$ per scarf:
$\frac{9}{2} \div \frac{3}{4} = \frac{9}{2} \times \frac{4}{3} = \frac{36}{6} = 6$

Answer:

6